The Ground State Energy of a Two-Dimensional Bose Gas
Research output: Contribution to journal › Journal article › Research › peer-review
Documents
- Fulltext
Final published version, 1.29 MB, PDF document
We prove the following formula for the ground state energy density of a dilute Bose gas with density ρ in 2 dimensions in the thermodynamic limit (Formula presented.) as ρa2→0. Here Y=|log(ρa2)|-1 and a is the scattering length of the two-body potential. This result in 2 dimensions corresponds to the famous Lee–Huang–Yang formula in 3 dimensions. The proof is valid for essentially all positive potentials with finite scattering length, in particular, it covers the crucial case of the hard core potential.
Original language | English |
---|---|
Article number | 59 |
Journal | Communications in Mathematical Physics |
Volume | 405 |
Issue number | 3 |
Number of pages | 104 |
ISSN | 0010-3616 |
DOIs | |
Publication status | Published - 2024 |
Bibliographical note
Publisher Copyright:
© The Author(s) 2024.
ID: 385839572